Question: 17.15 Z is distributed N (0,1), W is distributed x2 n, and V is distributed x2 m. Show, as n S and m is fixed,

17.15 Z is distributed N (0,1), W is distributed x2 n, and V is distributed x2 m. Show, as n S and m is fixed, that:

a. W/n1. b. kc. Z VW/n d N(0,1). Use the result to

a. W/n1. b. kc. Z VW/n d N(0,1). Use the result to explain why the to distribution is the same as the standard normal distribution. V/m d W/n X/m. Use the result to explain why the F,, ., distribution is the same as the xm/m distribution.

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